A turntable of radius R=1.60 m and mass M=32.2 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4x rad/s. The fixed turntable bearing is frictionless. The turn table is in the shape of a uniform disc with the moment of inertia of this turntable being I = 0.5*MR2. kgm2/s? kgm/s? (a) What is the magnitude of angular momentum of this turntable? Answer: (b) What is the (magnitude of) the momentum of this turntable? Answer: Now a lump of clay of mass m=2.38 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to a point 1.50 m from the axis (c) Find the final angular speed of the clay and turntable. Answer: (d) What is the change of kinetic energy after the clay is dropped (i.e. KE_turntabl_and_clay - KE_turntable_alone)? Answer: (e) What is the (magnitude of) the momentum of the clay and turntable system? Answer: rad/s J? kgm/s?

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Chapter1: Units, Trigonometry. And Vectors
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A turntable of radius R=1.60 m and mass M=32.2 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4x rad/s. The fixed turntable bearing is frictionless. The
turn table is in the shape of a uniform disc with the moment of inertia of this turntable being I = 0.5*MR².
(a) What is the magnitude of angular momentum of this turntable? Answer:
kgm²/s?
(b) What is the (magnitude of) the momentum of this turntable? Answer:
kgm/s?
Now a lump of clay of mass m=2.38 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to a point 1.50 m from the axis
(c) Find the final angular speed of the clay and turntable. Answer:
(d) What is the change of kinetic energy after the clay is dropped (i.e. KE_turntabl_and_clay - KE_turntable_alone)? Answer:
rad/s
J?
(e) What is the (magnitude of) the momentum of the clay and turntable system? Answer:
kgm/s?
Transcribed Image Text:A turntable of radius R=1.60 m and mass M=32.2 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4x rad/s. The fixed turntable bearing is frictionless. The turn table is in the shape of a uniform disc with the moment of inertia of this turntable being I = 0.5*MR². (a) What is the magnitude of angular momentum of this turntable? Answer: kgm²/s? (b) What is the (magnitude of) the momentum of this turntable? Answer: kgm/s? Now a lump of clay of mass m=2.38 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to a point 1.50 m from the axis (c) Find the final angular speed of the clay and turntable. Answer: (d) What is the change of kinetic energy after the clay is dropped (i.e. KE_turntabl_and_clay - KE_turntable_alone)? Answer: rad/s J? (e) What is the (magnitude of) the momentum of the clay and turntable system? Answer: kgm/s?
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